Turkish Journal of Mathematics
DOI
-
Abstract
In this work we give some sufficient conditions under which the structure of a transitive group of finitary permutations on an infinite set can be determined from the structure of a point stabilizer. Also, we give some sufficient conditions for the existence of a proper subgroup having an infinite orbit in a totally imprimitive p-group of finitary permutations. These results, with the help of some known results, give sufficient conditions for the nonexistence of a perfect locally finite minimal non FC - (p-group).
Keywords
Finitary permutation, primitive, almost primitive, totally imprimitive
First Page
101
Last Page
116
Recommended Citation
ASAR, ALİ OSMAN (2006) "On Finitary Permutation Groups," Turkish Journal of Mathematics: Vol. 30: No. 1, Article 10. Available at: https://journals.tubitak.gov.tr/math/vol30/iss1/10
